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Finding the Third Proportional to 40,126.13 and 85,436.25

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Solution

The third proportional to 40,126.13 and 85,436.25 is: 181,910.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,126.13 : 85,436.25 = 85,436.25 : x
  2. Step 2: Convert to fraction form
    40,126.13/85,436.25 = 85,436.25/x
  3. Step 3: Cross multiply
    40,126.13x = 85,436.25 × 85,436.25
  4. Step 4: Simplify right side
    40,126.13x = 7,299,352,814.06
  5. Step 5: Solve for x
    x = 7,299,352,814.06/40,126.13
  6. Step 6: Final answer
    x = 181,910.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.